CN103620119A - Method for designing corrugated steel sheet and corrugated steel sheet flume - Google Patents

Abstract

Provided is a method that is for designing a corrugated steel sheet and that is characterized by-when designing the corrugated shape of the corrugated steel sheet configuring a corrugated steel sheet flume that comprises a corrugated steel sheet having corrugations having a wave depth of H, forms a U-shape by means of two side walls and a floor, and has a floor linear section length of d-setting the wave depth (H) with respect to the floor linear section length (d) in a manner so that the overall buckling pressure (pcr) when the floor of the corrugated steel sheet flume buckles by means of external pressure acting horizontally to the outside surface of the two side walls, and the yield stress (sy) when the floor of the corrugated steel sheet flume yields by means of the external pressure are equivalent.

Description

The method for designing of corrugated steel and corrugated steel groove processed

Technical field

The present invention is about to using the above-mentioned corrugated steel of U font corrugated steel groove processed that corrugated steel forms to design the method for designing of the corrugated steel of (especially its waveform shape being designed), and the corrugated steel groove processed that forms of the corrugated steel that obtains according to this method for designing of use.

Background technology

Corrugated steel groove processed is used the corrugated steel 1a with waveform as shown in Figure 4, and as shown in Figure 3, the cross sectional shape of U fonts is formed on the sidewall 2 of both sides and the bottom of bottom line part length d 3, be called ripple groove processed or U-lag etc., when constructing the water route of various openings or draining road (building canals) etc., use.This kind of corrugated steel groove processed generally used in JIS JISG3471 the ripple section (corrugated steel) of stipulating as < < ripple tubulation and ripple section > > to form.

Kind as the corrugated steel using in corrugated steel groove processed, identical 1 type, the 2 types sections of cross sectional shape difference of 1 type of the ripple tubulation that has and stipulate in JIS, 2 type sections (ripple section), the wave space b of the cross sectional shape of 1 type section is that the depth H of 68mm, ripple is 13.0mm, and the wave space b of the cross sectional shape of circular 2 type sections is that the depth H of 150mm, ripple is 48mm or 50mm.

Use the corrugated steel groove processed of 1 type section, for example, to construct as the cross sectional shape of Figure 10 (a), (b).Reinforcement is fixed with bolt along the upper end of sidewall 2 with edge angle steel 4, two side 2 is by slot length direction processed (in Figure 10 and the direction of paper quadrature) interval, the pillar (supporting member) 5 being formed by the chevron steel between its upper end of link being set, and obtains reinforcement.

The type of Figure 10 (a) comprises 1 section, but the type of Figure 10 (b) comprises 2 sections in left and right, and bottom 3 has bolted joints portion.

Use the cross sectional shape of corrugated steel groove processed and the type of above-mentioned (a) of 2 type sections roughly the same, but span is larger, therefore as Figure 11, comprises symmetrical left and right section and 3 sections such as section of bottom, 2 places of bottom 3 have bolted joints portion.

The corrugated steel using in patent documentation 1 is different from the purposes such as build canals, as load support tectosome, uses, but the cross sectional shape of this corrugated steel, the spacing of ripple is 30.5cm (12 inches), the degree of depth of ripple is 10.2cm (4 inches).

As mentioned above, in previous corrugated steel groove processed, use in normalized corrugated steel (ripple section), the degree of depth of ripple is set as specific dimensions, but this specific dimensions is also groundless about the efficiency of the steel use amount of relative corrugated steel groove intensity processed.

And in the corrugated steel that patent documentation 1 is recorded, the degree of depth of ripple is 102mm (10.2cm) etc. more greatly, but the efficiency of the steel use amount of the intensity of the tectosome of constructing about relative usage corrugated steel is still groundless.

Patent documentation 1: Japanese kokai publication sho 53-620

Summary of the invention

Constructing under the situation on U font water route or draining road etc., if wish construction is than the structure of using the larger span of the previous span allowing (distances between U font two walls) when normalized corrugated steel is constructed the situation of corrugated steel groove processed,, in order to improve rigidity, need at least change the cross sectional shape of previous corrugated steel.

While changing the cross sectional shape of corrugated steel, relation between cause and corrugated steel groove intensity processed, more than steel use amount is increased to necessary amount, thereby thereby increasing construction cost, Master Cost uprises, therefore need to avoid this situation, seek to fasten effective cross sectional shape in the pass of corrugated steel groove intensity processed and steel use amount.

But present situation is, the corrugated steel that used by the corrugated steel groove processed of external pressure for U font two side, does not also calculate the method for this useful cross section shape.

For U font two side, be subject to the corrugated steel using in the corrugated steel groove processed of external pressure, in the various investigations of calculating the method for useful cross section shape are investigated, the present application person etc. are conceived to only from the viewpoint of cross section second moment, investigate not necessarily abundant this one side of effective cross sectional shape.; in U font two side, be subject in the structure of external pressure; the situation that exists bottom straight line portion material to destroy with respect to used load surrender quilt; and bottom straight line portion is because of the destroyed situation of flexing; therefore the intensity with destruction due to flexing for the destruction due to surrender; the cross sectional shape of obtaining the balance of this intensity is useful cross section shape, is conceived to this point, thereby obtains the present invention.

The present invention forms in view of above-mentioned background, it is a kind of that its object is to provide, make the large span corrugated steel groove processed that cannot be constructed by the cross sectional shape of the corrugated steel of present situation become possibility, can obtain the method for designing of the corrugated steel of the useful cross section shape (especially its waveform shape) of fastening corrugated steel in the intensity of corrugated steel groove processed and the pass of steel use amount simultaneously, and the constructed corrugated steel groove processed of corrugated steel that obtains according to this method for designing of use.

The method for designing of the corrugated steel of the invention of the technical scheme 1 addressing the above problem, it is characterized in that: the corrugated steel of the depth H waveform that comprises ripple at structure, and two side becomes U font with bottom, during the waveform shape of the above-mentioned corrugated steel of the corrugated steel groove processed of bottom line part length d, so that the bottom of corrugated steel groove processed is due to all flexing relevant pressure p of horizontal force in the external pressure of above-mentioned two side external surface and during flexing _cryield stress σ when due to the surrender of above-mentioned external pressure _yequal mode, sets the depth H with respect to the ripple of bottom line part length d.

Technical scheme 2 is characterised in that, in the method for designing of the corrugated steel of technical scheme 1, so that all flexing relevant pressure p shown in following (1) formula _crwith yield stress σ _yequal mode, sets the depth H with respect to the ripple of bottom line part length d;

Wherein,

D: bottom line part length m m

P _cr: all flexing relevant pressure N/mm ²

E: coefficient of elasticity N/mm ²

σ _y: yield stress N/mm ²

B: the width of the corrugated steel length of the ripple orthogonal direction of corrugated steel groove processed (=with) mm

I: the cross section second moment mm of the every width B of corrugated steel ⁴

A: the sectional area mm of the every width B of corrugated steel ²

[several 1]

$p_{\mathrm{cr}}=\frac{{\mathrm{\&pi;}}^2\&CenterDot;E\&CenterDot;I}{A\&CenterDot;{\mathrm{<figure-callout\; id="2"\; label="d"\; filenames="HDA0000445225730000051.png,HDA0000445225730000071.png"\; state="\{\{state\}\}">d</figure-callout>}}^2}\&CenterDot;\&CenterDot;\&CenterDot;\left(1\right).$

Technical scheme 3 is characterised in that, in the method for designing of the corrugated steel of technical scheme 2, according to following formula (7), sets the depth H with respect to the ripple of bottom line part length d,

Wherein,

A: wave-amplitude (=H/2) mm

T: thickness of slab mm

[several 2]

$a=\sqrt{\frac{2\&CenterDot;{\mathrm{\&sigma;}}_y\&CenterDot;{\mathrm{<figure-callout\; id="2"\; label="d"\; filenames="HDA0000445225730000051.png,HDA0000445225730000071.png"\; state="\{\{state\}\}">d</figure-callout>}}^2}{{\mathrm{\&pi;}}^2\&CenterDot;E}-\frac{{\mathrm{<figure-callout\; id="2"\; label="t"\; filenames="HDA0000445225730000051.png,HDA0000445225730000071.png"\; state="\{\{state\}\}">t</figure-callout>}}^2}{6}}\&CenterDot;\&CenterDot;\&CenterDot;\left(7\right).$

Technical scheme 4 is characterised in that, in the method for designing of the corrugated steel of technical scheme 2, according to following formula (9), sets the depth H with respect to the ripple of bottom line part length d,

Wherein,

A: wave-amplitude (=H/2) mm

[several 3]

$a=\frac{d}{\mathrm{\&pi;}}\sqrt{\frac{2\&CenterDot;{\mathrm{\&sigma;}}_y}{E}}\&CenterDot;\&CenterDot;\&CenterDot;\left(9\right).$

The method for designing of the corrugated steel of technical scheme 5, it is characterized in that: the corrugated steel of the depth H waveform that comprises ripple at structure, and two side becomes U font with bottom, during the waveform shape of the above-mentioned corrugated steel of the corrugated steel groove processed of bottom line part length d, the bottom based on corrugated steel groove processed is due to all flexing relevant pressure p of horizontal force in the external pressure of above-mentioned two side external surface and during flexing _cryield stress σ when surrendering due to external pressure _ythe relation that becomes bottom line part length d while equating and the depth H of ripple, so that buckling load is greater than the mode of yield load, setting is with respect to the depth H of the ripple of bottom line part length d.

Technical scheme 6 is characterised in that, in the method for designing of the corrugated steel of technical scheme 5, comprise: set the step of the 1st relation line, set with respect to the bottom of corrugated steel groove processed due to all flexing relevant pressure p of horizontal force in the external pressure of above-mentioned two side external surface and during flexing _cryield stress σ when surrendering due to external pressure _ybecome the 1st relation line of depth H of the ripple of the bottom line part length d while equating; Set the step of the 2nd relation line, based on above-mentioned the 1st relation line, the depth H of setting ripple with respect to bottom line part length d between each given zone is the 2nd relation line of phasic Chang; And the depth H step of setting ripple, based on above-mentioned the 2nd relation line, set the depth H with respect to the ripple of bottom line part length d; And, with respect to a side region of above-mentioned the 1st relation line, be the region that buckling load is greater than yield load, with respect to the opposing party region of above-mentioned the 1st relation line, be the region that yield load is greater than buckling load; Above-mentioned the 2nd relation line is set in one side region, between an above-mentioned given zone in, no matter how bottom line part length d changes, the depth H of ripple is all fixing.

The method for designing of the corrugated steel of the invention of technical scheme 7, it is characterized in that: the corrugated steel of the depth H waveform that comprises ripple at structure, and two side becomes U font with bottom, during the waveform shape of the above-mentioned corrugated steel of the corrugated steel groove processed of bottom line part length d, according to following formula (8), set the depth H with respect to the ripple of bottom line part length d

Wherein,

A: wave-amplitude (=H/2) mm

T: thickness of slab mm

[several 4]

$a>\sqrt{\frac{2\&CenterDot;{\mathrm{\&sigma;}}_y\&CenterDot;{\mathrm{<figure-callout\; id="2"\; label="d"\; filenames="HDA0000445225730000051.png,HDA0000445225730000071.png"\; state="\{\{state\}\}">d</figure-callout>}}^2}{{\mathrm{\&pi;}}^2\&CenterDot;E}-\frac{{\mathrm{<figure-callout\; id="2"\; label="t"\; filenames="HDA0000445225730000051.png,HDA0000445225730000071.png"\; state="\{\{state\}\}">t</figure-callout>}}^2}{6}}\&CenterDot;\&CenterDot;\&CenterDot;\left(8\right).$

The corrugated steel groove processed of the invention of technical scheme 8, it is characterized in that: the corrugated steel of the depth H waveform that comprises ripple, and two side becomes U font with bottom, the depth H of the ripple of the above-mentioned corrugated steel in the corrugated steel groove processed of bottom line part length d, has the size determining according to the method for designing of the corrugated steel as described in any one in technical scheme 1 to 7.

In the corrugated steel of method for designing gained of the present invention, the depth H of the ripple corresponding with the specific bottom line part length d of corrugated steel groove processed is, all flexing relevant pressure p when using the bottom straight line portion flexing of corrugated steel groove processed that this corrugated steel forms _crthe mode that yield stress while surrendering with above-mentioned bottom straight line portion equates is set.That is, use in the corrugated steel groove processed that this corrugated steel forms all flexing relevant pressure p during bottom straight line portion flexing of this corrugated steel groove processed _cryield stress σ while surrendering with above-mentioned bottom straight line portion _yabout equally.

Therefore, all flexings roughly produce with surrender simultaneously.When surrender being had nargin or producing surrender on the contrary while producing all flexings, all flexings are had to nargin, mean, the member section of corrugated steel groove processed is not born used load all sidedly; And all flexings roughly produce with surrender and mean simultaneously, member section is born used load comprehensively.Therefore such cross sectional shape can say that in the intensity of corrugated steel groove processed and the pass of steel use amount, fastening is effective cross sectional shape (waveform shape).

The formula of technical scheme 2 (1) represents, when according to the invention design section shape of technical scheme 1, for all flexing relevant pressure pcr and depth H (=2 * wave-amplitude concrete formula a) of surrendering mode that relevant pressure py equates and set ripple.

In technical scheme 3, represent, for set the direct-type of the depth H (=2a) of the ripple of corrugated steel according to the invention of technical scheme 2.If determined the numerical value of thickness of slab t in this formula, can directly obtain the relation of the depth H (=2a) of bottom straight length d and ripple.

In technical scheme 4, also represent, for set the direct-type of the depth H (=2a) of the ripple of corrugated steel according to the invention of technical scheme 2, but in this technical scheme 4, in the formula of technical scheme 3, the impact of thickness of slab t is small, therefore omit thickness of slab t item, and expression is as the simplified style of the direct relation of the depth H (=2a) of bottom straight length d and ripple.Thus, the Waveform Design of corrugated steel becomes extremely simple and easy.

Accompanying drawing explanation

Fig. 1, for for the key diagram of the method for designing of the corrugated steel groove processed that embodiments of the present invention are related is described, (a) represents that external pressure horizontal force, in the state of the sidewall external surface of corrugated steel groove processed both sides, (b) represents all flexing relevant pressure p _crbecause above-mentioned external pressure acts on the state of the bottom line part of corrugated steel groove processed, (c) represent yield stress σ _yact on the state of bottom line part.

Fig. 2 is the schematic diagram of the situation of the compressive load bottom line part that acts on Fig. 1 (b) or corrugated steel groove processed (c).

Fig. 3 is the stereogram of outward appearance of body part of the corrugated steel groove processed of presentation graphs 1.

Fig. 4 is the schematic diagram of the waveform shape in the corrugated steel cross section of the above-mentioned corrugated steel of formation groove processed.

Fig. 5 is an embodiment as the method for designing of corrugated steel of the present invention groove processed, make Fig. 2 corrugated steel waveform shape near sinusoidal curve and set under the situation of waveform shape the schematic diagram of this approximate waveform shape.

Fig. 6 derives the figure of main points of formula (4) of the sectional area A of the width B try to achieve corrugated steel for explanation.

Fig. 7 is for illustrating the figure of the main points of the formula (6) that derives the I (cross section second moment) that tries to achieve corrugated steel.

The chart of Fig. 8 for the relation of numerical expression (8) is made, while designing the situation of waveform shape of corrugated steel according to the method for designing of corrugated steel of the present invention groove processed, the schematic diagram of an example of the relation of the depth H of bottom line part length d and ripple (wave-amplitude a 2 times).

Fig. 9 is for to be modified to the depth H of ripple with respect to the schematic diagram of the embodiment of the corresponding relation of bottom line part length d phasic Chang by the bottom line part length d shown in the figure of Fig. 8 and roughly proportional corresponding relation of the depth H of ripple.

The schematic diagram of the main cross sectional shape that Figure 10 is the 1 type corrugated steel groove processed of extensively being constructed, (a), (b) be respectively dissimilar.

The schematic diagram of the cross sectional shape that Figure 11 is the 2 type corrugated steel groove processed of extensively being constructed.

Figure 12 is the schematic diagram of an example of relation of the depth H (wave-amplitude a 2 times) of the bottom line part length d shown in Fig. 8 and ripple, and the schematic diagram of an example of considering the relation of safety coefficient.

The specific embodiment

Below, with reference to the accompanying drawings of and implement the method for designing of corrugated steel of the present invention, and the corrugated steel groove processed that uses the corrugated steel that obtains according to this method for designing to form.

[embodiment 1]

In the embodiment the present invention relates to, the corrugated steel of the depth H waveform that comprises ripple at structure, and two side becomes U font with bottom, during the waveform shape of the above-mentioned corrugated steel of the corrugated steel groove processed of bottom line part length d, so that the bottom of corrugated steel groove processed is due to all flexing relevant pressure p of horizontal force in the external pressure of above-mentioned two side external surface and during flexing _cryield stress σ when surrendering due to above-mentioned external pressure _yequal mode, sets the depth H with respect to the ripple of bottom line part length d.

If be explained with Fig. 1, groove 1 as processed in the corrugated steel of (a) is when the external surface of the sidewall 2 of its both sides is subject to horizontal external pressure (as shown in arrow), and compressive load acts on the line part (bottom line part length d part) of bottom 3.In Fig. 2, represent that compressive load (shown in hollow arrow) acts on the situation of bottom line part.Now, as collapse state, just like the line part of bottom shown in Fig. 1 (b) do not keep linear state and the situation of the buckling failure of flexing and as Fig. 1 (c) as shown in bottom line part keep situation compressed under linear state and yield failure that surrender.In Fig. 1 (b), (c), double dot dash line represents the original cross sectional shape of corrugated steel groove processed, and d', d'' represent the length with original bottom line part length d corresponding part.

Fig. 4 represents the waveform shape of the general corrugated steel that uses in corrugated steel groove processed, and b represents the spacing of ripple, and H represents the degree of depth of ripple, and t represents thickness of slab.As shown in the figure, the waveform shape of general corrugated steel is that the combination by straight line and curve forms, but from simplifying the viewpoint of calculating, as shown in Figure 5, waveform shape is processed as sin ripple (sine curve) approx.

In Fig. 5, the spacing that b is ripple, a is wave-amplitude (=H/2 (half of the depth H of ripple)).And, as shown using the thickness of slab t processing of the distance as between 2 sin ripples approx.

Above-mentioned all flexing relevant pressure p _crwith formula (1), represent.This all flexing relevant pressure p _crformula (1) for supporting fringe conditions according to the two ends pin of Euler's formula (Euler's Formula), derive.

[several 5]

$p_{\mathrm{cr}}=\frac{{\mathrm{\&pi;}}^2\&CenterDot;E\&CenterDot;I}{A\&CenterDot;{\mathrm{<figure-callout\; id="2"\; label="d"\; filenames="HDA0000445225730000051.png,HDA0000445225730000071.png"\; state="\{\{state\}\}">d</figure-callout>}}^2}\&CenterDot;\&CenterDot;\&CenterDot;\left(1\right)$

The symbol p of above-mentioned formula (1) _cr, E, σ _y, I, A, B, d be as described below.

D: bottom line part length m m

P _cr: all flexing relevant pressure N/mm ²

E: coefficient of elasticity N/mm ²

σ _y: yield stress N/mm ²

B: the width of corrugated steel (width of=corrugated steel groove processed (length of tube axial direction)) mm

I: the cross section second moment mm of each width B of corrugated steel ⁴

A: the sectional area mm of each width B of corrugated steel ²

In the present invention as above, all flexing relevant pressure p during with the bottom line part flexing of corrugated steel groove processed _cryield stress σ during with surrender _yequal mode, the waveform shape of setting corrugated steel.That is, σ _y=p _cr, so following formula (2) is directly set up.

[several 6]

${\mathrm{\&sigma;}}_y=\frac{{\mathrm{\&pi;}}^2\&CenterDot;E\&CenterDot;I}{A\&CenterDot;{\mathrm{<figure-callout\; id="2"\; label="d"\; filenames="HDA0000445225730000051.png,HDA0000445225730000071.png"\; state="\{\{state\}\}">d</figure-callout>}}^2}\&CenterDot;\&CenterDot;\&CenterDot;\left(2\right)$

A in formula (2) (sectional area of the width B of corrugated steel) can be by calculating the sectional area of 1 wavelength (wave space b), then make it expand B/b doubly to try to achieve, as shown in the formula of recording in paragraph below (3)." B/b " in formula (3) is above-mentioned B/b times.

The main points of formula (3) of derivation being tried to achieve to the sectional area A of corrugated steel width B are shown in Fig. 6.The area that the URSV of Fig. 6 surrounds part is the area of 1/4 part of wave space b, is therefore 1/4 (A/4) of sectional area A.The area that area-VSZ that this sectional area A/4 (=area URSV) surrounds for URZ surrounds.Therefore obtain formula (3).Solve the right of formula (3), can obtain formula (4).

[several 7]

$A=4\&CenterDot;\frac{B}{b}\{{\&Integral;}_{\frac{\mathrm{<figure-callout\; id="2"\; label="b"\; filenames="HDA0000445225730000051.png,HDA0000445225730000071.png"\; state="\{\{state\}\}">b</figure-callout>}}{2\&CenterDot;\mathrm{\&pi;}}\&CenterDot;{\sin }^{-1}(-\frac{\mathrm{<figure-callout\; id="2"\; label="t"\; filenames="HDA0000445225730000051.png,HDA0000445225730000071.png"\; state="\{\{state\}\}">t</figure-callout>}}{2\&CenterDot;a})}^{\frac{b}{4}}(a\&CenterDot;\sin (\frac{2\&CenterDot;\mathrm{\&pi;}}{b}\&CenterDot;x)+\frac{t}{2})\mathrm{dx}-{\&Integral;}_{\frac{\mathrm{<figure-callout\; id="2"\; label="b"\; filenames="HDA0000445225730000051.png,HDA0000445225730000071.png"\; state="\{\{state\}\}">b</figure-callout>}}{2\&CenterDot;\mathrm{\&pi;}}\&CenterDot;{\sin }^{-1}\left(\frac{\mathrm{<figure-callout\; id="2"\; label="t"\; filenames="HDA0000445225730000051.png,HDA0000445225730000071.png"\; state="\{\{state\}\}">t</figure-callout>}}{2\&CenterDot;a}\right)}^{\frac{b}{4}}(a\&CenterDot;\sin (\frac{2\&CenterDot;\mathrm{\&pi;}}{b}\&CenterDot;x)-\frac{t}{2})\mathrm{dx}\}\&CenterDot;\&CenterDot;\&CenterDot;\left(3\right)$

[several 8]

A:B·t·２·(4)

In addition, the computational process on formula (3) the right is as follows.

[several 9]

$\begin{array}{c}A=4\&CenterDot;\frac{B}{b}\{{\&Integral;}_{\frac{b}{2\&CenterDot;n}\&CenterDot;{\sin }^{-1}(-\frac{t}{2\&CenterDot;a})}^{\frac{b}{4}}(a\&CenterDot;\sin (\frac{2\&CenterDot;\mathrm{\&pi;}}{b}\&CenterDot;x)+\frac{t}{2})\mathrm{dx}-{\&Integral;}_{\frac{b}{2\&CenterDot;n}{\sin }^{-1}\left(\frac{t}{2\&CenterDot;a}\right)}^{\frac{b}{4}}(a\&CenterDot;\sin (\frac{2\&CenterDot;\mathrm{\&pi;}}{b}\&CenterDot;x)-\frac{t}{2})\mathrm{dx}\}\\ =4\&CenterDot;\frac{B}{b}\{{[-a\&CenterDot;\frac{b}{2\&CenterDot;\mathrm{\&pi;}}\&CenterDot;\cos (\frac{2\&CenterDot;\mathrm{\&pi;}}{b}\&CenterDot;x)+\frac{t}{2}\&CenterDot;x]}_{\frac{b}{2\&CenterDot;\mathrm{\&pi;}}{\sin }^{-1}(-\frac{t}{2\&CenterDot;a})}^{\frac{b}{4}}-{[-a\&CenterDot;\frac{b}{2\&CenterDot;\mathrm{\&pi;}}\&CenterDot;\cos (\frac{2\&CenterDot;\mathrm{\&pi;}}{b}\&CenterDot;x)-\frac{t}{2}\&CenterDot;x]}_{\frac{b}{2\&CenterDot;\mathrm{\&pi;}}{\sin }^{-1}\left(\frac{t}{2\&CenterDot;a}\right)}^{\frac{b}{4}}\}\\ =4\&CenterDot;\frac{B}{b}\{\frac{1}{4}\&CenterDot;t\&CenterDot;b+\frac{a\&CenterDot;b}{2\&CenterDot;\mathrm{\&pi;}}(\cos \left({\sin }^{-1}(-\frac{t}{2\&CenterDot;a})\right)-\cos \left({\sin }^{-1}\left(\frac{t}{2\&CenterDot;a}\right)\right))-\frac{t\&CenterDot;b}{4\&CenterDot;\mathrm{\&pi;}}({\sin }^{-1}(-\frac{t}{2\&CenterDot;\mathrm{\&pi;}})+{\sin }^{-1}\left(\frac{t}{2\&CenterDot;a}\right))\}\\ =B\&CenterDot;t\end{array}$

The I of formula (2) (cross section second moment) is identical with the situation of A, can be by calculating the cross section second moment of 1 wavelength (wave space b), then make it expand B/b doubly to try to achieve, shown in (5).

The main points of formula (5) of derivation being tried to achieve to the I (cross section second moment) of corrugated steel are shown in Fig. 7.The URSV of Fig. 7 surround part cross section second moment i be 1 wavelength (wave space b) cross section second moment 1/4.And this cross section second moment i (the cross section second moment of=URSV part) is the cross section second moment i that URZ surrounds part ₁-VSZ surrounds the cross section second moment i of part ₂(i=i ₁-i ₂).Therefore I=4B/bi, can obtain formula (5).

In addition, for example URZ surrounds the cross section second moment i of part ₁for, in small area Δ K part in Fig. 7 around the cross section second moment y of neutral axis (X-axis) ²Δ K, carries out integration and obtains from y=0 to y=a+t/2.For cross section second moment i ₂also identical.

Solve the right of formula (5), obtain formula (6).

As A and the I in formula (2), the I of the A in substitution formula (4) and formula (6), to wave-amplitude, a arranges, and can obtain formula (7).

[several 10]

$I=4\&CenterDot;\frac{B}{b}\{{\&Integral;}_0^{a+\frac{t}{2}}{y}^2(\frac{b}{4}-\frac{\mathrm{<figure-callout\; id="2"\; label="b"\; filenames="HDA0000445225730000051.png,HDA0000445225730000071.png"\; state="\{\{state\}\}">b</figure-callout>}}{2\&CenterDot;\mathrm{\&pi;}}{\sin }^{-1}(\frac{y}{a}-\frac{\mathrm{<figure-callout\; id="2"\; label="t"\; filenames="HDA0000445225730000051.png,HDA0000445225730000071.png"\; state="\{\{state\}\}">t</figure-callout>}}{2\&CenterDot;a}))\mathrm{dy}-{\&Integral;}_0^{a-\frac{t}{2}}{y}^2(\frac{b}{4}-\frac{\mathrm{<figure-callout\; id="2"\; label="b"\; filenames="HDA0000445225730000051.png,HDA0000445225730000071.png"\; state="\{\{state\}\}">b</figure-callout>}}{2\&CenterDot;\mathrm{\&pi;}}{\sin }^{-1}(\frac{y}{a}+\frac{\mathrm{<figure-callout\; id="2"\; label="t"\; filenames="HDA0000445225730000051.png,HDA0000445225730000071.png"\; state="\{\{state\}\}">t</figure-callout>}}{2\&CenterDot;a}))\mathrm{dy}\}---\left(5\right)$

[several 11]

$I=\frac{t\&CenterDot;B\&CenterDot;a^2}{2}+\frac{t^3\&CenterDot;B}{12}\&CenterDot;\&CenterDot;\&CenterDot;\left(6\right)$

[several 12]

$a=\sqrt{\frac{2\&CenterDot;{\mathrm{\&sigma;}}_y\&CenterDot;{\mathrm{<figure-callout\; id="2"\; label="d"\; filenames="HDA0000445225730000051.png,HDA0000445225730000071.png"\; state="\{\{state\}\}">d</figure-callout>}}^2}{{\mathrm{\&pi;}}^2\&CenterDot;E}-\frac{{\mathrm{<figure-callout\; id="2"\; label="t"\; filenames="HDA0000445225730000051.png,HDA0000445225730000071.png"\; state="\{\{state\}\}">t</figure-callout>}}^2}{6}}\&CenterDot;\&CenterDot;\&CenterDot;\left(7\right).$

Formula (7) represents all flexing relevant pressure p _crwith yield stress σ _yequal condition (relation between thickness of slab t, bottom line part length d and wave-amplitude a).

Known according to formula (7), wave space b and all flexing relevant pressure p _crwith yield stress σ _yequal conditional independence.But shown in (1), with all flexing relevant pressure p _crthe size of self certainly relevant (reason is, changes if wave space changes sectional area A, cross section second moment I).

While using the situation of the SS330 identical with the material of circular 2 type ripple tubulations, for thickness of slab t, be these 2 kinds of 2.7mm and 4.0mm, if the relation table of formula (7) is shown in figure, as shown in Figure 8.In this figure, the depth H (wave-amplitude a 2 times) that the longitudinal axis is modified to ripple represents.

In addition, in formula (7),

E=2.1×10 ⁵N/mm ²

σ _y=205N/mm ²。

As Fig. 8, represent that the relation line of the depth H relation of bottom line part length d and ripple is almost straight line.And, when thickness of slab t is the situation of 2.7mm when the relation of bottom line part length d and the depth H of ripple and situation that thickness of slab t is 4.0mm bottom the relation of depth H of line part length d and ripple, 1 relation line as shown in Figure 8, both almost identical (actual is 2 lines, with identifying in the colored figure showing).

When the pass of the depth H of bottom line part length d and ripple ties up on the relation line of Fig. 8, buckling load equates (all flexing relevant pressures equate with yield stress) with yield load, cross sectional shape is now full blast in the endurance of corrugated steel groove processed (ripple groove processed) and the relation of steel use amount.

The region that is positioned at relation line top is the region that buckling load is greater than yield load.That is, in this region the destruction of corrugated steel groove processed by surrendering generation.And the region that is positioned at relation line below is the region that yield load is greater than buckling load.That is, in this region, the destruction of corrugated steel groove processed is produced by flexing.The relation of the depth H of bottom line part length d and ripple is more offset from relation line up or down, and the difference of buckling load and yield load is larger, forms inefficient cross sectional shape, and for desired allowable load, steel use amount increases.

As mentioned above, the pass of the depth H of bottom line part length d and ripple ties up on the relation line of Fig. 6, in the viewpoint of the efficiency of desired allowable load and steel use amount, is best.

Yet, if buckling load is greater than yield load, buckling failure does not occur prior to yield failure, uses the toughness of the tectosome of ripple tubulation to improve, therefore can prevent the generation sharply destroying, it is desirable to adopt the buckling load that is positioned at relation line top to be greater than the scope in the region of yield load.

That is, in the pass of the depth H (H=2a) of bottom line part length d and ripple, fasten, shown in (8), set, more satisfactory in the generation that prevents from sharply destroying.

[several 13]

$a>\sqrt{\frac{2\&CenterDot;{\mathrm{\&sigma;}}_y\&CenterDot;{\mathrm{<figure-callout\; id="2"\; label="d"\; filenames="HDA0000445225730000051.png,HDA0000445225730000071.png"\; state="\{\{state\}\}">d</figure-callout>}}^2}{{\mathrm{\&pi;}}^2\&CenterDot;E}-\frac{{\mathrm{<figure-callout\; id="2"\; label="t"\; filenames="HDA0000445225730000051.png,HDA0000445225730000071.png"\; state="\{\{state\}\}">t</figure-callout>}}^2}{6}}\&CenterDot;\&CenterDot;\&CenterDot;\left(8\right)$

Employing, with respect to the establishing method of the depth H (=2a) of the ripple of bottom as above line part length d, can obtain following effect.

The strength of materials can be effectively utilized, steel can be effectively used, thus the use amount of saving steel.

Can be applicable to the corrugated steel groove tectosome processed of large span.

The quantity of the supporting members such as pillar be can reduce, the reduction of steel use amount or the raising of application property sought.And, make the quantity of supporting member identical, while being of a size of undersized situation, can cut down steel use amount.

Cross section rigidity (cross section second moment) uprises, and therefore under same load condition, can make thickness of slab attenuation.

Deepen the depth H of ripple, thereby increase with the adhesion amount of ground, therefore can on the inclined-plane than previously steep, arrange.

Deepen the depth H of ripple, thereby flow velocity can not surpass more than necessity, on greatly sloped side also without energy dissipator.

When buckling load is set as being greater than the situation of yield load, buckling failure does not occur prior to yield failure, and the toughness of corrugated steel groove processed improves, and can prevent the generation sharply destroying.

As mentioned above, in Fig. 8, relation line is almost straight line, no matter and thickness of slab t how, be almost visible as 1 straight line, this represents, in formula (7), with respect to the item of bottom line part length d, thickness of slab t's is obviously less, can ignore the impact of thickness of slab t.That is, even if the bottom line part length d in formula (7) is made as to 2000mm minimum in Fig. 8, thickness of slab t is made as to thicker 4.0mm, also meets d ²=4 * 10 ⁶, t ²=16, because of d ²> > t ²therefore, even if think, consider each coefficient (2 σ _y/ π ²e, 1/6) size of value, also can ignore the impact (omit in detail and calculate) of thickness of slab t.

Therefore, can replace formula (7), and use the approximate expression of practical following formula (9).

[several 14]

$a=\frac{d}{\mathrm{\&pi;}}\sqrt{\frac{2\&CenterDot;{\mathrm{\&sigma;}}_y}{E}}\&CenterDot;\&CenterDot;\&CenterDot;\left(9\right)$

Shown in (7) or formula (9), the relational dependence of bottom line part length d and the depth H (=2a) of best ripple is not in yield stress (σ y) (substantially there is no the different of invar kind and the coefficient of elasticity E that produces poor).Therefore can, according to the yield stress of used steel, try to achieve the relation of the depth H (=2a) of bottom line part length d and best ripple.For example the yield stress as the widely used SS330 of material of ripple groove processed is 205N/mm ².In addition, as scope more specifically, thickness of slab t is 1.6～9.0mm.Coefficient of elasticity E is 20.1 * 10 ⁴～21.6 * 10 ⁴n/mm ².Yield stress σ _ybe 168～325N/mm ².

Such method for designing effect when the larger situation of the bottom of corrugated steel groove processed line part length d is especially remarkable.During the less situation of bottom line part length, even if reinforcement members is not excessively set, adjustment degree that can also thickness of slab is fully carried out intensity countermeasure.On the other hand, during the larger situation of bottom line part length, can produce the necessity of using more reinforcement members.Adopt as the optimal method for designing of present embodiment, can reduce such reinforcement members.In above-mentioned embodiment, as effect, become significant scope, represented that about bottom line part length d be the example of the above scope of 2000mm.The lower limit of bottom line part length d is not limited to 2000mm, according to material etc. and different, for example, can be 1000mm, also can be 3000mm.About higher limit, be not particularly limited, but can be 6000mm.In addition, in embodiment, represented the example in the following scope of 5000mm about bottom line part length d.

And, figure based on Fig. 8, as long as on the relation line that equates with yield load at buckling load or be greater than the region of yield load at buckling load, how to set with respect to the depth H of the ripple of bottom line part length d all can, but also can be for this zoning upper limit.For example also can consider safety coefficient and set upper limit.Particularly, as shown in figure 12, set as the relation line of the bottom line part length d of " buckling load/safety coefficient=yield load " and the depth H of ripple.Adopt safety coefficient=1.68 herein.Depth H with respect to the ripple of caliber D also can be made as the value between the relation line of " buckling load=yield load " and the relation line of " buckling load/safety coefficient=yield load ".Thus, can make buckling failure prior to yield failure, not occur, and can guarantee sufficient safety for yield strength.In addition, safety coefficient is as long as used the value for defineds such as materials, according to the equal of country and during the situation that benchmark is different, as long as use meets the value of this benchmark.

[embodiment 2]

While setting the situation of relation of depth H of bottom line part length d and ripple in the mode on the relation line at formula (7) or formula (9) gained, the size of non-interim corresponding bottom line part length d and set the depth H of ripple, it is on manufacturing, in construction, other each side are more complicated, cost increases, and therefore makes the periodically comparatively practicality of corresponding bottom line part length d of depth H of ripple.

For example as shown in Figure 9, can adopt the establishing method that line part length d every 1000mm in bottom is changed to the depth H of ripple.

During the interim situation changing, compare and sharply produce the buckling failure destroying, the yield failure that difficult generation sharply destroys is more suitable for the collapse state as tectosome, therefore the mode occurring in advance with yield failure is set, and in the region of " buckling load > yield load ", sets (not enter the mode in the region of " buckling load < yield load ", not setting) better.Interim relation line in Fig. 9 is to set like this.The following concrete depth H that represents the ripple of bottom each scope of line part length d.

Bottom line part length d is within the scope of 2000mm～3000mm, and the depth H of ripple is 84mm

Bottom line part length d is within the scope of 3000mm～4000mm, and the depth H of ripple is 114mm

Bottom line part length d is within the scope of 4000mm～5000mm, and the depth H of ripple is 142mm

As mentioned above, so that the depth H along make ripple as the form of the relation line of Fig. 9 is interim, deepen, thereby when obtaining above-mentioned various effect, owing to not being that buckling failure but yield failure occur in advance, therefore can prevent the generation sharply destroying.

Setting program while setting the situation of depth H of ripple according to method as Fig. 9 is as (i)～(iii).

(i) set with respect to the bottom of corrugated steel groove processed due to all flexing relevant pressure p of horizontal force in the external pressure of above-mentioned two side walls and during flexing _cryield stress σ when surrendering due to above-mentioned external pressure _ythe 1st relation line (relation line of " buckling load=yield load " shown in Fig. 9) of the depth H of the ripple with respect to bottom line part length d while equating.

(ii), based on the 1st relation line, with respect to bottom line part length d, between each given zone, (in the example of Fig. 9, set the interval of every 1000mm) and set the 2nd relation line (interim relation line as shown in Figure 9) of the depth H phasic Chang of ripple.

(iii) based on the 2nd relation line, set the depth H with respect to the ripple of bottom line part length d.

With respect to the 1st relation line, be positioned at the region that the region (a side region) of upside is " buckling load > yield load ", with respect to the 1st relation line, be positioned at the region (the opposing party region) of downside for the region of " buckling load < yield load ".The 2nd relation line is located at the region of " buckling load > yield load ", no matter how bottom line part length d changes in an interval, the depth H of ripple is all fixing.

In addition, even if set in stage under the situation of depth H of ripple, as shown in figure 12, also can consider the relation line of " buckling load/safety coefficient=yield load ".That is, also can the region between the relation line of " buckling load=yield load " and the relation line of " buckling load/safety coefficient=yield load " in, set the 2nd interim relation line.

Utilizability in industry

The present invention can be used for using the above-mentioned corrugated steel of U font corrugated steel groove processed that corrugated steel forms to design the method for designing of the corrugated steel of (especially its bellows-shaped being designed), and the corrugated steel groove processed that forms of the corrugated steel that obtains according to this method for designing of use.

symbol description

1 corrugated steel groove processed

1a corrugated steel

The wall portion of 2 both sides

3 bottoms

The sectional area mm of each width B of A corrugated steel ²

A wave-amplitude (=H/2) mm

The width of B corrugated steel is (with the length of the ripple orthogonal direction of corrugated steel groove processed

Degree) mm

D, d', d''(corrugated steel groove processed) bottom line part length m m

E coefficient of elasticity N/mm ²

The degree of depth mm of H ripple

The cross section second moment mm of each width B of I corrugated steel ⁴

P _crall flexing relevant pressure N/mm ²

T thickness of slab mm

σ _yyield stress N/mm ²

Claims (8)

1. the method for designing of a corrugated steel, it is characterized in that: the corrugated steel of the waveform of the depth H that comprises ripple at structure, and two side becomes U font with bottom, during the waveform shape of the described corrugated steel of the corrugated steel groove processed of bottom line part length d, so that the bottom of corrugated steel groove processed is due to all flexing relevant pressure p of horizontal force in the external pressure of described two side external surface and during flexing _cryield stress σ when surrendering due to described external pressure _yequal mode, sets the depth H with respect to the ripple of bottom line part length d.

2. the method for designing of corrugated steel as claimed in claim 1, is characterized in that, so that all flexing relevant pressure p shown in following (1) formula _crwith yield stress σ _yequal mode, sets the depth H with respect to the ripple of bottom line part length d,

Wherein,

D: bottom straight length mm

P _cr: all flexing relevant pressure N/mm ²

E: coefficient of elasticity N/mm ²

σ _y: yield stress N/mm ²

B: the width of the corrugated steel length of the ripple orthogonal direction of corrugated steel groove processed (=with) mm

I: the cross section second moment mm of the every width B of corrugated steel ⁴

A: the sectional area mm of the every width B of corrugated steel ²

[several 1]

$p_{\mathrm{cr}}=\frac{{\mathrm{\&pi;}}^2\&CenterDot;E\&CenterDot;I}{A\&CenterDot;d^2}\&CenterDot;\&CenterDot;\&CenterDot;\left(1\right).$

3. the method for designing of corrugated steel as claimed in claim 2, is characterized in that: according to following formula (7), set the depth H with respect to the ripple of bottom line part length d,

Wherein,

A: wave-amplitude (=H/2) mm

T: thickness of slab mm

[several 2]

$a=\sqrt{\frac{2\&CenterDot;{\mathrm{\&sigma;}}_y\&CenterDot;d^2}{{\mathrm{\&pi;}}^2\&CenterDot;E}-\frac{t^2}{6}}\&CenterDot;\&CenterDot;\&CenterDot;\left(7\right).$

4. the method for designing of corrugated steel as claimed in claim 2, is characterized in that: according to following formula (9), set the depth H with respect to the ripple of bottom line part length d,

Wherein,

A: wave-amplitude (=H/2) mm

[several 3]

$a=\frac{d}{\mathrm{\&pi;}}\sqrt{\frac{2\&CenterDot;{\mathrm{\&sigma;}}_y}{E}}\&CenterDot;\&CenterDot;\&CenterDot;\left(9\right).$

5. the method for designing of a corrugated steel, it is characterized in that: the corrugated steel of the waveform of the depth H that comprises ripple at structure, and two side becomes U font with bottom, during the waveform shape of the described corrugated steel of the corrugated steel groove processed of bottom line part length d, the bottom based on corrugated steel groove processed is due to all flexing relevant pressure p of horizontal force in the external pressure of described two side external surface and during flexing _cryield stress σ when surrendering due to described external pressure _ythe relation that becomes bottom line part length d while equating and the depth H of ripple, so that buckling load is greater than the mode of yield load, setting is with respect to the depth H of the ripple of bottom line part length d.

6. the method for designing of corrugated steel as claimed in claim 5, is characterized in that, comprising:

Set the step of the 1st relation line: the bottom of setting corrugated steel groove processed is due to all flexing relevant pressure p of horizontal force in the external pressure of described two side external surface and during flexing _cryield stress σ when surrendering due to described external pressure _ybecome described the 1st relation line of the depth H of the ripple with respect to bottom line part length d while equating;

Set the step of the 2nd relation line: based on described the 1st relation line, the depth H of setting ripple with respect to bottom line part length d between each given zone is described the 2nd relation line of phasic Chang; And

Set the step of the depth H of ripple: based on described the 2nd relation line, set the depth H with respect to the ripple of bottom line part length d; And

A side region with respect to described the 1st relation line is the region that buckling load is greater than yield load, with respect to the opposing party region of described the 1st relation line, is the region that yield load is greater than buckling load;

Described the 2nd relation line is set in one region, and in described in one between given zone, no matter how bottom line part length d changes, the depth H of ripple is all fixing.

7. the method for designing of a corrugated steel, it is characterized in that: the corrugated steel of the waveform of the depth H that comprises ripple at structure, and two side becomes U font with bottom, during the waveform shape of the described corrugated steel of the corrugated steel groove processed of bottom line part length d, according to following formula (8), set the depth H with respect to the ripple of bottom line part length d

Wherein,

A: wave-amplitude (=H/2) mm

T: thickness of slab mm

[several 4]

$a>\sqrt{\frac{2\&CenterDot;{\mathrm{\&sigma;}}_y\&CenterDot;d^2}{{\mathrm{\&pi;}}^2\&CenterDot;E}-\frac{t^2}{6}}\&CenterDot;\&CenterDot;\&CenterDot;\left(8\right).$

8. a corrugated steel groove processed, it is characterized in that: the corrugated steel of the waveform that is H in the degree of depth that comprises ripple, and two side becomes U font with bottom, in the corrugated steel groove processed of bottom line part length d, the depth H of the ripple of described corrugated steel, has the size determining according to the method for designing of the corrugated steel as described in any one in claim 1 to 7.

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